Search a number
-
+
15077454140 = 22573133371021
BaseRepresentation
bin11100000101010111…
…11011000100111100
31102220202220000210102
432002223323010330
5221334312013030
610532042100232
71042430150150
oct160253730474
942822800712
1015077454140
116437914501
122b094aa678
1315638c76c8
14a30627060
155d3a13c45
hex382afb13c

15077454140 has 96 divisors (see below), whose sum is σ = 36444879744. Its totient is φ = 5132574720.

The previous prime is 15077454113. The next prime is 15077454211. The reversal of 15077454140 is 4145477051.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 15077454094 and 15077454103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14766830 + ... + 14767850.

It is an arithmetic number, because the mean of its divisors is an integer number (379634164).

Almost surely, 215077454140 is an apocalyptic number.

15077454140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15077454140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18222439872).

15077454140 is an abundant number, since it is smaller than the sum of its proper divisors (21367425604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15077454140 is a wasteful number, since it uses less digits than its factorization.

15077454140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 38.

The spelling of 15077454140 in words is "fifteen billion, seventy-seven million, four hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 313 337 626 674 1021 1252 1348 1565 1685 2042 2191 2359 3130 3370 4084 4382 4718 5105 6260 6740 7147 8764 9436 10210 10955 11795 14294 20420 21910 23590 28588 35735 43820 47180 71470 105481 142940 210962 319573 344077 421924 527405 639146 688154 738367 1054810 1278292 1376308 1476734 1597865 1720385 2109620 2237011 2408539 2953468 3195730 3440770 3691835 4474022 4817078 6391460 6881540 7383670 8948044 9634156 11185055 12042695 14767340 22370110 24085390 44740220 48170780 107696101 215392202 430784404 538480505 753872707 1076961010 1507745414 2153922020 3015490828 3769363535 7538727070 15077454140